Answer:
36 units²
Step-by-step explanation:
rectangle with area of 12 square units is dilated by a scale factor of 3. What is the area?
Scale factor = Dimension of the new shape ÷ Dimension of the original shape.
we use the inverse formula
12 * 3 =<em> </em>
<em>36 units²</em>
<em>-----------------------</em>
check
36 : 12 = 3
the answer is good
Answer:
not all of them are proportional because they do not all equal the same.
Step-by-step explanation:
Answer:
x ≈ 4.6
Step-by-step explanation:
Reference angle = 75°
Opposite side to reference angle = 17
Adjacent side = x
Applying TOA:
Tan 75 = opp/adj
Tan 75 = 17/x
Multiply both sides by x
x*Tan 75 = 17
Divide both sides by Tan 75
x = 17/Tan 75
x ≈ 4.6
Answer:
{1, -9, 56, -269}
Step-by-step explanation:
Evaluate the rule for n=2, 3, and 4 in sequence.
For n=2
f(2) = (-5)f(1) +11 = (-5)(4) +11 = -9
f(3) = (-5)f(2) +11 = (-5)(-9) +11 = 56
f(4) = (-5)f(3) +11 = (-5)(56) +11 = -269
The first four terms of the sequence are {1, -9, 56, -269}.
Answer:
a₁ = 37
Step-by-step explanation:
In an arithmetic progression the common difference d is
d = a₂ - a₁ = a₃ - a₂ , that is
2x - 18 - (x + 1) = 2x - 1 - (2x - 18) ← distribute and simplify both sides
2x - 18 - x - 1 = 2x - 1 - 2x + 18
x - 19 = 17 ( add 19 to both sides )
x = 36
Thus
a₁ = x + 1 = 36 + 1 = 37
